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Finding the Third Proportional to 132,746,110,686.75 and 291,969,990,411

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Solution

The third proportional to 132,746,110,686.75 and 291,969,990,411 is: 642,176,820,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,746,110,686.75 : 291,969,990,411 = 291,969,990,411 : x
  2. Step 2: Convert to fraction form
    132,746,110,686.75/291,969,990,411 = 291,969,990,411/x
  3. Step 3: Cross multiply
    132,746,110,686.75x = 291,969,990,411 × 291,969,990,411
  4. Step 4: Simplify right side
    132,746,110,686.75x = 85,246,475,300,599,433,789,440
  5. Step 5: Solve for x
    x = 85,246,475,300,599,433,789,440/132,746,110,686.75
  6. Step 6: Final answer
    x = 642,176,820,545.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.